Write the System of Linear Equations Represented by the Augmented $$\begin{array} { r } 7 x + 8 y - 12 z + w = 9 \\4 y + z = 10 \\x - y - 3 z = - 1 \\5 x - 5 y + 2 z = 2\end{array}$$

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the
variables.
- $$\begin{array} { r } 7 x + 8 y - 12 z + w = 9 \\4 y + z = 10 \\x - y - 3 z = - 1 \\5 x - 5 y + 2 z = 2\end{array}$$

A)
$$\left[ \begin{array} { r r r r | r } 7 & 8 & - 12 & 1 & 9 \\0 & 4 & 1 & 0 & 10 \\1 & - 1 & - 3 & 0 & - 1 \\5 & - 5 & 2 & 0 & 2\end{array} \right]$$
B)
$$\left[ \begin{array} { r r r | r } 7 & 8 & - 12 & 9 \\0 & 4 & 1 & 6 \\1 & - 1 & - 3 & - 1 \\5 & - 5 & 2 & 2\end{array} \right]$$
C)
$$\left[ \begin{array} { l r r | r } 7 & 0 & 1 & 9 \\8 & 4 & - 1 & - 5 \\- 12 & 1 & - 3 & 2 \\1 & 0 & 0 & 0 \\9 & 10 & - 1 & 2\end{array} \right]$$
D)
$$\left[ \begin{array} { r r r r | r } 7 & 8 & 12 & 1 & 9 \\0 & 4 & 1 & 0 & 10 \\1 & 1 & 3 & 0 & - 1 \\5 & 5 & 2 & 0 & 2\end{array} \right]$$